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Finding the Fourth Proportional to 5,157.94, 7,738.21 and 1,460.20

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Solution

The fourth proportional to 5,157.94, 7,738.21 and 1,460.20 is: 2,190.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.94 : 7,738.21 = 1,460.20 : x
  2. Step 2: Convert to fraction form
    5,157.94/7,738.21 = 1,460.20/x
  3. Step 3: Cross multiply
    5,157.94x = 7,738.21 × 1,460.20
  4. Step 4: Simplify right side
    5,157.94x = 11,299,337.89
  5. Step 5: Solve for x
    x = 11,299,337.89/5,157.94
  6. Step 6: Final answer
    x = 2,190.67

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